Mathematics

The focus of this talk is on wave propagation problems in space and time, in 2 dimensional domains with piecewise-linear boundaries, possibly including polygonal scatterers. I will present a surrogate model for the approximation of the propagating wave. In the model, the wave is approximated by the sum  of some nonlinear space-time functions: each term in this sum represents a ray, which models either a reflection or a diffraction effect. I will show how it is possible ti identify these rays automatically, based on the geometry of the domain. Several numerical examples will showcase the potential of the proposed methodology.